On anti-periodic type boundary value problems of sequential fractional differential equations of order q ∊ (2, 3].

We investigate a new kind of anti-periodic type boundary value problems of sequential fractional differential equation of order q ∊ (2; 3]. We make use of Banach's contraction mapping principle to obtain the uniqueness result while the existence of solutions is established via Krasnoselskii's fixed point theorem and Leray-Schauder nonlinear alternative. The paper concludes with some illustrative examples. [ABSTRACT FROM AUTHOR]